Sullivan went on: ”I would say to people if we don’t bring anyone in it is not the end of the world as we were the fourth highest scorers in the Premier League last season – and we haven’t lost a striker.

“In a perfect world I would like to think we will bring in a top class striker but we’ve all got limits on what we can pay.

“I am a little concerned because I’d like to have signed one by now. But it is what it is.”

Sullivan has also insisted the Hammers' England frontman Andy Carroll will not leave, despite interest from several clubs.

The 27-year-old scored nine goals during an injury-ravaged campaign last season, and Sullivan said: “Andy has just had the best six months he has ever had for the club and now he has had a couple of operations he should be over all his injuries.